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Finding the Third Proportional to 186,869 and 420,516

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Solution

The third proportional to 186,869 and 420,516 is: 946,297.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,869 : 420,516 = 420,516 : x
  2. Step 2: Convert to fraction form
    186,869/420,516 = 420,516/x
  3. Step 3: Cross multiply
    186,869x = 420,516 × 420,516
  4. Step 4: Simplify right side
    186,869x = 176,833,706,256
  5. Step 5: Solve for x
    x = 176,833,706,256/186,869
  6. Step 6: Final answer
    x = 946,297.71

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.